Your instructor releases block B to slide down the smooth plane. After moving a

Question

Your instructor releases block B to slide down the smooth plane. After moving a distance q, it impacts platform A and sticks to it, compressing the spring. Block B weighs W = 96.6 lb. Platform A has negligible mass (or weight). The linear elastic spring has stiffness k = 500 lb/ft and, due to the negligible mass platform A, is at its unstretched length before block B impacts platform A. The distance q = 3 ft. The angle between the sloping plane and the horizontal is theta = 42 degree. Determine the distance, d, that the spring compresses from its initial position before it starts to push Block B back up the plane.

Explanation / Answer

by work energy theorem,

mgh sin theta = 0.5 kx^2

96.6*[3+x] * sin 42 degree= 0.5*500*x^2

289.8 + 96.6x = 373.6 x^2

x = 1.019 ft answer

  

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